[5] In 2016, she was living in Gillieston Heights, New South Wales, and a year 12 student at Bishop Tyrrell Anglican College.

[3] By 2010, Elliott held three Australian age group classification records,[5] and the 2010 New South Wales Multi-Class Long Course Swimming Championships, she had five first-place finishes.

[8][9] On 31 August 2012 at the London Aquatics Centre, Elliott slashed 23 seconds off her personal best time to win a bronze medal in the S8 400 m freestyle.

[15] This resulted in the Australian Chef de Mission, Jason Hellwig, officially presenting Lizzie to the Chairman of the London Organising Committee of the Olympic and Paralympic Games (LOCOG), Lord Coe, who gave him a Mandeville in return.

[27] At the 2016 Rio Paralympics, she was a member of the team that won gold in world record time in the 4 x 100 freestyle relay 34 points, alongside Ellie Cole, Lakeisha Patterson and Ashleigh McConnell.

In 2017, Elliott was reclassified to S9 and subsequently was not selected on Australian teams at the 2018 Commonwealth Games and World Para Swimming Championships.